Subspace generated by the rows of a matrix

The rowspace command finds a basis for the row space of a matrix.

rowspace takes one mandatory argument and one optional argument:
- A, a matrix.
- Optionally, var, a variable name.
rowspace(A ⟨,var ⟩) returns a list of vectors which form a basis of the subspace generated by the rows of A. With the optional argument var, Xcas will store the dimension of the subspace generated by the rows of A.

rowspace([[1,1,2],[2,1,3],[3,1,4]])

⎡
⎢
⎣

−1	0	−1
0	−1	−1

⎤
⎥
⎦

rowspace([[1,1,2],[2,1,3],[3,1,4]],dimension)

⎡
⎢
⎣

−1	0	−1
0	−1	−1

⎤
⎥
⎦

dimension